Suppose that X is a normal random variable with unknown mean and known variance 2 9. The

Chapter 7, Problem 7-48

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Suppose that X is a normal random variable with unknown mean and known variance 2 9. The prior distribution for is normal with 0 4 and 1. A random sample of n 25 observations is taken, and the sample mean is (a) Find the Bayes estimate of . (b) Compare the Bayes estimate with the maximum likelihood estimate. 7-

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